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US CO₂ Emissions per Capita vs US Federal Debt Outstanding

US CO₂ Emissions per Capita and US Federal Debt Outstanding correlate at r = +0.31 over 225 years (1800–2024), p < 0.0001. With the time trend removed, r = -0.69. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is 0.31, but once each series' time trend is removed it becomes -0.69. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
+0.31
p-value
< 0.0001
Years compared (n)
225 (1800–2024)
95% confidence interval
0.19 to 0.43
Correlation with the time trend removed
-0.69

Sources

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Correlation does not imply causation. How the verdict is worked out.